14206408976424 has 192 divisors, whose sum is σ = 42567345676800. Its totient is φ = 3869408949120.

The previous prime is 14206408976423. The next prime is 14206408976479. The reversal of 14206408976424 is 42467980460241.

It is not an unprimeable number, because it can be changed into a prime (14206408976423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10160347 + ... + 11473685.

It is an arithmetic number, because the mean of its divisors is an integer number (221704925400).

Almost surely, 2^{14206408976424} is an apocalyptic number.

14206408976424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14206408976424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21283672838400).

14206408976424 is an abundant number, since it is smaller than the sum of its proper divisors (28360936700376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14206408976424 is a wasteful number, since it uses less digits than its factorization.

14206408976424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313484 (or 1313449 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 57.

The spelling of 14206408976424 in words is "fourteen trillion, two hundred six billion, four hundred eight million, nine hundred seventy-six thousand, four hundred twenty-four".